ON A CLASS OF WEAKLY BERWALD SPECIAL (Α, Β)-METRICS OF SCALAR FLAG CURVATURE

Authors

  • Vanithalakshmi S M Department of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka, India
  • Narasimhamurthy S K Department of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka, India
  • Roopa. M. K Department of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka, India

DOI:

https://doi.org/10.53555/eijms.v5i2.41

Keywords:

Finsler space, S-curvature, (α, β)-metrics Mean Berwald curvature Homogenous Finsler space

Abstract

In this paper, we study the Finsler space with special (α, β)-metric is scalar flag curvature and we proved that, if it is weakly Berwald if and only if it is Berwald and vanishes flag curvature. Further, we found that this metric is locally Minkowskian.

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Published

2019-12-27
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